Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesInverse matrixEasy2 min

MathematicsEasysingle choice

Let $A, B$ be square matrix such that $A B = 0$ and $B$ is non singular then

Answer:

Solution:

If $A \cdot B = 0$ , then we can multiply by the inverse of $B$ , $B^{- 1}$ , on both sides:

$A \cdot B \cdot B^{- 1} = 0 \cdot B^{- 1}$

This simplifies to:

$A \cdot I = 0$

Therefore,

$A = 0$

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Inverse matrix

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